Add 45/50 and 5/49
45/50 + 5/49 is 491/490.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 49 is 2450
Next, find the equivalent fraction of both fractional numbers with denominator 2450 - For the 1st fraction, since 50 × 49 = 2450,
45/50 = 45 × 49/50 × 49 = 2205/2450 - Likewise, for the 2nd fraction, since 49 × 50 = 2450,
5/49 = 5 × 50/49 × 50 = 250/2450 - Add the two like fractions:
2205/2450 + 250/2450 = 2205 + 250/2450 = 2455/2450 - 2455/2450 simplified gives 491/490
- So, 45/50 + 5/49 = 491/490
In mixed form: 11/490
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/50+5/49 45/50+10/49 45/50+5/98 45/50+15/49 45/50+25/49 45/50+35/49